Upper bound for the Laplacian graph eigenvalues

DOI10.1007/s10114-004-0332-4zbMath1074.15026OpenAlexW2078907300MaRDI QIDQ1780291

Jiong-Sheng Li, Yong-Liang Pan

Publication date: 7 June 2005

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-004-0332-4

zbMATH Keywords

upper boundextremal graphsLaplacian matrixconnected graphLargest eigenvalue

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (11)

Signless Laplacian Spectral Radius and Some Hamiltonian Properties of Graphs ⋮ Sharp bounds on the signless Laplacian spectral radii of graphs ⋮ Sharp upper bounds for the adjacency and the signless Laplacian spectral radius of graphs ⋮ A sharp upper bound on the signless Laplacian spectral radius of graphs ⋮ On the distribution of Laplacian eigenvalues of a graph ⋮ On edge singularity and eigenvectors of mixed graphs ⋮ New bounds on the distance Laplacian and distance signless Laplacian spectral radii ⋮ Sharp bounds for the largest eigenvalue of the signless Laplacian of a graph ⋮ Non-bipartite graphs with third largest Laplacian eigenvalue less than three ⋮ A sharp upper bound for the spectral radius of a nonnegative matrix and applications ⋮ Bounds for the Laplacian spectral radius of graphs

Cites Work

• A note on Laplacian graph eigenvalues
• On the Laplacian eigenvalues of a graph
• Laplacian matrices of graphs: A survey
• A new upper bound for eigenvalues of the Laplacian matrix of a graph
• A note on the second largest eigenvalue of the laplacian matrix of a graph^∗
• Matrix Analysis
• Eigenvalues of the Laplacian of a graph^∗
• The Laplacian Spectrum of a Graph II
• Unnamed Item
• Unnamed Item

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